On Tue, Apr 2, 2013 at 9:03 PM, Prasoon Shukla <prasoon92.i...@gmail.com> wrote: > I took a look at the line_integrate() function. The Curve class is something > of a start. Though, I like very much Raoul's idea for a single class to > represent everything (path/surface/volume). I think this is doable. But, > >> would then represent an integral over an N-dimensional hypervolume > > I have not had a relevant course that would acquaint me with 'N-dimensional > hypervolumes'. Nevertheless, I am willing to read up on it. I hope that just > implementing integrals in such hypervolumes wouldn't be too different from > the 2 or 3 dimensional case. > >> How are they numerical in nature? Integrals are by their nature symbolic. >> They take symbolic functions and > return a symbolic result. Numerics are >> useful if the answer is not expressible in terms of nice functions. > > Indeed they are. I said numeric from the user's perspective. For example, if > a user wants to calculate a line integral, say, then unlike integration in > one variable where we could do indefinite integrals and expect the answer to > be in terms of elementary functions, here, we might be just concerned with > the numeric result of the integration. Of course, giving the output in terms > of elementary functions would be much better but I am inclined to think that > we will probably need rely heavily on some kind of a numeric backend.
Don't concern yourself with whether or not integrate can give a symbolic answer or not. That's somebody else's problem. If it can do it, it will return the result. Otherwise, it will return an unevaluated Integral, which can then be numerically evaluated. Aaron Meurer > > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at http://groups.google.com/group/sympy?hl=en-US. > > For more options, visit https://groups.google.com/groups/opt_out. > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
